This site is the parent site of an extensive collection of interactive mathematics authored by Alexander Bogomolny and...
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This site is the parent site of an extensive collection of interactive mathematics authored by Alexander Bogomolny and includes an interactive monthly column . The content is accessible to the casual reader but offers much depth along with links to other high-quality resources. Altogether, this site is a mathematician's delight.

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The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts,...
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The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts, i.e., to help them develop accurate geometric intuition about multivariable calculus concepts and the various relationships among them.To accomplish this goal, the project includes four parts:· Creating a Multivariable Calculus Visualization applet using Java and publishing it on a website: web.monroecc.edu/calcNSF· Creating a series of focused applets that demonstrate and explore particular 3D calculus concepts in a more dedicated way.· Developing a series of guided exploration/assessments to be used by students to explore calculus concepts visually on their own.· Dissemination of these materials through presentations and poster sessions at math conferences and through other publications.Intellectual Merit: This project provides dynamic visualization tools that enhance the teaching and learning of multivariable calculus. The visualization applets can be used in a number of ways:- Instructors can use them to visually demonstrate concepts and verify results during lectures.- Students can use them to explore the concepts visually outside of class, either using a guided activity or on their own.- Instructors can use the main applet (CalcPlot3D) to create colorful graphs for visual aids (color overheads), worksheets, notes/handouts, or tests. 3D graphs or 2D contour plots can be copied from the applet and pasted into a word processor like Microsoft Word.- Instructors will be able to use CalcPlot3D to create lecture demonstrations containing particular functions they specify and/or guided explorations for their own students using a scripting feature that is being integrated with this applet.The guided activities created for this project will provide a means for instructors to get their students to use these applets to actively explore and “play” with the calculus concepts.Paul Seeburger, the Principal Investigator (PI) for this grant project, has a lot of experience developing applets to bring calculus concepts to life. He has created 100+ Java applets supporting 5 major calculus textbooks (Anton, Thomas, Varberg, Salas, Hughes-Hallett). These applets essentially make textbook figures come to life. See examples of these applets at www.monroecc.edu/wusers/pseeburger/.Broader Impacts: This project will provide reliable visualization tools for educators to use to enhance their teaching in calculus and also in various Physics/Engineering classes. It is designed to promote student exploration and discovery, providing a way to truly “see” how the concepts work in motion and living color. The applets and support materials will be published and widely disseminated through the web and conference presentations.

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Demos with Positive Impact is a collection of quick classroom demos that enhance the learning of mathematics content through...
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Demos with Positive Impact is a collection of quick classroom demos that enhance the learning of mathematics content through animations, experiments etc. Each demo comes with stated objective, prerequisites, instructor notes and platform info, plus the level of the demo and credits. This setup appears conducive to quick inclusion into a class. To view a video of the award winning author, go to http://about.merlot.org/Videos/Math_Demos/Math_Demo.html" target=״_blank״>Demos with Positive Impact - the Mathematics Award Winner 2008 videoThe author also participated in the MERLOT Classics Series on Elluminate: " target=״_blank״https://sas.elluminate.com/site/external/jwsdetect/playback.jnlp?psid=2010-03-25.1727.M.9E9FE58134BE68C3B413F24B3586CF.vcr

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This site contains an extensive collection of games and puzzles in the form of java applets including Nim, the Tower of...
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This site contains an extensive collection of games and puzzles in the form of java applets including Nim, the Tower of Hanoi, Cryptarithms, Latin Squares, and much more. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.

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The Geometry Center contains a variety of appealing material, both textual and visual, including interactive exhibits,...
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The Geometry Center contains a variety of appealing material, both textual and visual, including interactive exhibits, simulations, graphics software and a library of reference materials pertaining to geometric tilings and polyhedra.

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This site contains an extensive collection of java applets involving arithmetic and algebra miscellany and puzzles. Written...
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This site contains an extensive collection of java applets involving arithmetic and algebra miscellany and puzzles. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.

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Thousands of FREE, short, online videos that are focused on explaining and modeling the learning of specific topics in math...
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Thousands of FREE, short, online videos that are focused on explaining and modeling the learning of specific topics in math (basic arithmetic and math to calculus), statistics, biology, physics, chemistry, finance, and other topics. The topics cover K-12 levels and higher education. The simple and clear presented information enables learners to see and review the topics and how to solve the problems at their pace with as much practice as they wish. In particular there are over a thousand videos just for mathematics. The site also contains a handful of interactive mathematics learning objects that are of the drill and practice type.

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'lluminations is a project designed by the National Council of Teachers of Mathematics (NCTM) and supported by the Verizon...
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'lluminations is a project designed by the National Council of Teachers of Mathematics (NCTM) and supported by the Verizon Foundation. NCTM serves as a content partner for Thinkfinity, the Verizon Foundation's free online professional learning community, where Illuminations is the primary contributor of resources for teaching and learning mathematics for grades pre-K—12.Illuminations works to serve you by increasing access to quality standards-based resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.Our ResourcesLessons and interactives searchable by NCTM’s Principles and Standards and by the Common Core State Standards.Over 600 lesson plans Over 100 activities; these are virtual manipulatives, applets, and games13 Calculation Nation® gamesPlay online math strategy games against a computer or players from around the world.'

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